Stability of bifurcating solutions in the presence of symmetry

DOI10.1016/0362-546X(87)90110-6zbMath0629.47051OpenAlexW2000048036MaRDI QIDQ3766370

Steven D. Taliaferro

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90110-6

zbMATH Keywords

eigenvaluesHopf bifurcationLie groupequilibrium solutionsLyapunov-Schmidt procedureprinciple of reduced stability

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (2)

Stability of periodic solutions in symmetric Hopf bifurcation ⋮ Degenerate Hopf bifurcation from multiple eigenvalues and stability

Cites Work

• Degenerate Hopf bifurcation from multiple eigenvalues and stability
• Bifurcation at multiple eigenvalues and stability of bifurcating solutions
• On the principle of reduced stability
• Stability of solutions bifurcating from multiple eigenvalues
• Hopf bifurcation in the presence of symmetry
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